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14168628 = 22331271033
BaseRepresentation
bin110110000011…
…001000110100
3222122211201000
4312003020310
512111344003
61223403300
7231300645
oct66031064
928584630
1014168628
117aa8111
1248b3530
132c21106
141c4b6cc
15139d1a3
hexd83234

14168628 has 48 divisors (see below), whose sum is σ = 37058560. Its totient is φ = 4681152.

The previous prime is 14168611. The next prime is 14168639. The reversal of 14168628 is 82686141.

14168628 is a `hidden beast` number, since 14 + 16 + 8 + 628 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14168592 and 14168601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13200 + ... + 14232.

Almost surely, 214168628 is an apocalyptic number.

14168628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14168628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18529280).

14168628 is an abundant number, since it is smaller than the sum of its proper divisors (22889932).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14168628 is a wasteful number, since it uses less digits than its factorization.

14168628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173 (or 1165 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 14168628 is about 3764.1238024273. The cubic root of 14168628 is about 241.9780277390.

The spelling of 14168628 in words is "fourteen million, one hundred sixty-eight thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 127 254 381 508 762 1033 1143 1524 2066 2286 3099 3429 4132 4572 6198 6858 9297 12396 13716 18594 27891 37188 55782 111564 131191 262382 393573 524764 787146 1180719 1574292 2361438 3542157 4722876 7084314 14168628